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On Connectivity in Matroids and Graphs

On Connectivity in Matroids and Graphs

In this paper we derive several results for connected matroids and use these to obtain new results for 2-connected graphs.In particular, we generalize work of Murty and Seymour on the number of two-element cocircuits in a minimally connected matroid, and work of Dirac, Plummer and Mader on the number of …